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Simplifying -7(x + -8) + 2 = -3x + 5(2x + 12) + -2 Reorder the terms: -7(-8 + x) + 2 = -3x + 5(2x + 12) + -2 (-8 * -7 + x * -7) + 2 = -3x + 5(2x + 12) + -2 (56 + -7x) + 2 = -3x + 5(2x + 12) + -2 Reorder the terms: 56 + 2 + -7x = -3x + 5(2x + 12) + -2 Combine like terms: 56 + 2 = 58 58 + -7x = -3x + 5(2x + 12) + -2 Reorder the terms: 58 + -7x = -3x + 5(12 + 2x) + -2 58 + -7x = -3x + (12 * 5 + 2x * 5) + -2 58 + -7x = -3x + (60 + 10x) + -2 Reorder the terms: 58 + -7x = 60 + -2 + -3x + 10x Combine like terms: 60 + -2 = 58 58 + -7x = 58 + -3x + 10x Combine like terms: -3x + 10x = 7x 58 + -7x = 58 + 7x Add '-58' to each side of the equation. 58 + -58 + -7x = 58 + -58 + 7x Combine like terms: 58 + -58 = 0 0 + -7x = 58 + -58 + 7x -7x = 58 + -58 + 7x Combine like terms: 58 + -58 = 0 -7x = 0 + 7x -7x = 7x Solving -7x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7x + -7x = 7x + -7x Combine like terms: -7x + -7x = -14x -14x = 7x + -7x Combine like terms: 7x + -7x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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